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Contains a class for managing paths (polylines).
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:class:`Path` represents a series of possibly disconnected,
possibly closed, line and curve segments.
The underlying storage is made up of two parallel numpy arrays:
- *vertices*: an Nx2 float array of vertices
- *codes*: an N-length uint8 array of vertex types
These two arrays always have the same length in the first
dimension. For example, to represent a cubic curve, you must
provide three vertices as well as three codes ``CURVE3``.
The code types are:
- ``STOP`` : 1 vertex (ignored)
A marker for the end of the entire path (currently not
required and ignored)
- ``MOVETO`` : 1 vertex
Pick up the pen and move to the given vertex.
- ``LINETO`` : 1 vertex
Draw a line from the current position to the given vertex.
- ``CURVE3`` : 1 control point, 1 endpoint
Draw a quadratic Bezier curve from the current position,
with the given control point, to the given end point.
- ``CURVE4`` : 2 control points, 1 endpoint
Draw a cubic Bezier curve from the current position, with
the given control points, to the given end point.
- ``CLOSEPOLY`` : 1 vertex (ignored)
Draw a line segment to the start point of the current
polyline.
Users of Path objects should not access the vertices and codes
arrays directly. Instead, they should use :meth:`iter_segments`
to get the vertex/code pairs. This is important, since many
:class:`Path` objects, as an optimization, do not store a *codes*
at all, but have a default one provided for them by
:meth:`iter_segments`.
Note also that the vertices and codes arrays should be treated as
immutable -- there are a number of optimizations and assumptions
made up front in the constructor that will not change when the
data changes.
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Create a new path with the given vertices and codes.
*vertices* is an Nx2 numpy float array, masked array or Python
sequence.
*codes* is an N-length numpy array or Python sequence of type
:attr:`matplotlib.path.Path.code_type`.
These two arrays must have the same length in the first
dimension.
If *codes* is None, *vertices* will be treated as a series of
line segments.
If *vertices* contains masked values, they will be converted
to NaNs which are then handled correctly by the Agg
PathIterator and other consumers of path data, such as
:meth:`iter_segments`.
*interpolation_steps* is used as a hint to certain projections,
such as Polar, that this path should be linearly interpolated
immediately before drawing. This attribute is primarily an
implementation detail and is not intended for public use.
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(static method) Make a compound path object to draw a number
of polygons with equal numbers of sides XY is a (numpolys x
numsides x 2) numpy array of vertices. Return object is a
:class:`Path`
.. plot:: mpl_examples/api/histogram_path_demo.py
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(staticmethod) Make a compound path from a list of Path
objects. Only polygons (not curves) are supported.
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Iterates over all of the curve segments in the path. Each
iteration returns a 2-tuple (*vertices*, *code*), where
*vertices* is a sequence of 1 - 3 coordinate pairs, and *code* is
one of the :class:`Path` codes.
Additionally, this method can provide a number of standard
cleanups and conversions to the path.
*transform*: if not None, the given affine transformation will
be applied to the path.
*remove_nans*: if True, will remove all NaNs from the path and
insert MOVETO commands to skip over them.
*clip*: if not None, must be a four-tuple (x1, y1, x2, y2)
defining a rectangle in which to clip the path.
*snap*: if None, auto-snap to pixels, to reduce
fuzziness of rectilinear lines. If True, force snapping, and
if False, don't snap.
*stroke_width*: the width of the stroke being drawn. Needed
as a hint for the snapping algorithm.
*simplify*: if True, perform simplification, to remove
vertices that do not affect the appearance of the path. If
False, perform no simplification. If None, use the
should_simplify member variable.
*curves*: If True, curve segments will be returned as curve
segments. If False, all curves will be converted to line
segments.
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Return a transformed copy of the path.
.. seealso::
:class:`matplotlib.transforms.TransformedPath`
A specialized path class that will cache the
transformed result and automatically update when the
transform changes.
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Returns *True* if the path contains the given point.
If *transform* is not *None*, the path will be transformed
before performing the test.
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Returns *True* if this path completely contains the given path.
If *transform* is not *None*, the path will be transformed
before performing the test.
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Returns the extents (*xmin*, *ymin*, *xmax*, *ymax*) of the
path.
Unlike computing the extents on the *vertices* alone, this
algorithm will take into account the curves and deal with
control points appropriately.
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Returns *True* if this path intersects another given path.
*filled*, when True, treats the paths as if they were filled.
That is, if one path completely encloses the other,
:meth:`intersects_path` will return True.
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Returns *True* if this path intersects a given
:class:`~matplotlib.transforms.Bbox`.
*filled*, when True, treats the path as if it was filled.
That is, if one path completely encloses the other,
:meth:`intersects_path` will return True.
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Returns a new path resampled to length N x steps. Does not
currently handle interpolating curves.
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Convert this path to a list of polygons. Each polygon is an
Nx2 array of vertices. In other words, each polygon has no
``MOVETO`` instructions or curves. This is useful for
displaying in backends that do not support compound paths or
Bezier curves, such as GDK.
If *width* and *height* are both non-zero then the lines will
be simplified so that vertices outside of (0, 0), (width,
height) will be clipped.
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(staticmethod) Returns a :class:`Path` of the unit rectangle
from (0, 0) to (1, 1).
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(staticmethod) Returns a :class:`Path` for a unit regular
polygon with the given *numVertices* and radius of 1.0,
centered at (0, 0).
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(staticmethod) Returns a :class:`Path` for a unit regular star
with the given numVertices and radius of 1.0, centered at (0,
0).
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(staticmethod) Returns a :class:`Path` for a unit regular
asterisk with the given numVertices and radius of 1.0,
centered at (0, 0).
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(staticmethod) Returns a :class:`Path` of the unit circle.
The circle is approximated using cubic Bezier curves. This
uses 8 splines around the circle using the approach presented
here:
Lancaster, Don. `Approximating a Circle or an Ellipse Using Four
Bezier Cubic Splines <http://www.tinaja.com/glib/ellipse4.pdf>`_.
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(staticmethod) Returns a :class:`Path` of the right half
of a unit circle. The circle is approximated using cubic Bezier
curves. This uses 4 splines around the circle using the approach
presented here:
Lancaster, Don. `Approximating a Circle or an Ellipse Using Four
Bezier Cubic Splines <http://www.tinaja.com/glib/ellipse4.pdf>`_.
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(staticmethod) Returns an arc on the unit circle from angle
*theta1* to angle *theta2* (in degrees).
If *n* is provided, it is the number of spline segments to make.
If *n* is not provided, the number of spline segments is
determined based on the delta between *theta1* and *theta2*.
Masionobe, L. 2003. `Drawing an elliptical arc using
polylines, quadratic or cubic Bezier curves
<http://www.spaceroots.org/documents/ellipse/index.html>`_.
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(staticmethod) Returns a wedge of the unit circle from angle
*theta1* to angle *theta2* (in degrees).
If *n* is provided, it is the number of spline segments to make.
If *n* is not provided, the number of spline segments is
determined based on the delta between *theta1* and *theta2*.
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Given a hatch specifier, *hatchpattern*, generates a Path that
can be used in a repeated hatching pattern. *density* is the
number of lines per unit square.
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Given a sequence of :class:`Path` objects, returns the bounding
box that encapsulates all of them.
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